Pullback exponential attractors for evolution processes in Banach spaces: Properties and applications

By Alexandre Nolasco de Carvalho, Stefanie Sonner. 2013

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This article is a continuation of our previous work [5], where we formulated general existence theorems for pullback exponential attractors for asymptotically compact evolution processes in Banach spaces and discussed its implications in the autonomous case. We now study properties of the attractors and use our theoretical results to prove the existence of pullback exponential attractors in two examples, where previous results do not apply.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/b0b1481fe4f2603e693466c151492c029bf0088a